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Flux compactifications in string theory: a comprehensive review

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arxiv hep-th/0509003 v3 pith:ITHGOB7B submitted 2005-09-01 hep-th

classification hep-th
keywords fluxcompactificationsstringfluxesfour-dimensionalreviewtheoriestheory
verification ladder T0 review T1 audit T2 compute T3 formal
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We present a pedagogical overview of flux compactifications in string theory, from the basic ideas to the most recent developments. We concentrate on closed string fluxes in type II theories. We start by reviewing the supersymmetric flux configurations with maximally symmetric four-dimensional spaces. We then discuss the no-go theorems (and their evasion) for compactifications with fluxes. We analyze the resulting four-dimensional effective theories, as well as some of its perturbative and non-perturbative corrections, focusing on moduli stabilization. Finally, we briefly review statistical studies of flux backgrounds.

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